Greatest Common Factor of 6589/204, 5603/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6589/204, 5603/605

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6589/204,5603/605

Given fractions are 6589/204,5603/605

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6589,5603

Greatest Common Factor of Numerators i.e. GCF of 6589,5603 is 1 .

LCM of Denominators means LCM of 204,605 as per the given fractions.

LCM of 204,605 is 123420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6589,5603

GCF of Fractions 6589/204,5603/605 is 1/123420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6589,5603 By Matching Biggest Common Factor Method

Greatest Common Factor of 6589,5603 By Matching Biggest Common Factor Method

Factors of 6589

List of positive integer factors of 6589 that divides 6589 without a remainder.

1,11,599,6589

Factors of 5603

List of positive integer factors of 5603 that divides 5603 without a remainder.

1,13,431,5603

Greatest Common Factor

We found the factors 6589,5603 . The biggest common factor number is the GCF number.
So the greatest common factor 6589,5603 is 1.

Lets's calculate LCM of 204,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 123420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123420

Therefore, the GCF of Fractions 6589/204,5603/605 is 1/123420

Least Common Multiple of 204,605 with GCF Formula

Least Common Multiple of 204,605 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 204,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,605) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(204,605) x common factors =1 x 1 = 1

LCM(204,605) = ( 204 × 605 ) / 1

LCM(204,605) = 123420 / 1

LCM(204,605) = 123420


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6589/204, 5603/605

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6589/204, 5603/605?

Answer: GCF of Numerators as per given numbers 6589/204, 5603/605 is

GCF of Numerators i.e. for 6589,5603 is 1

LCM of denominators i.e. for 204,605 is 123420.

Thus, GCF of Fractions is 1/123420.Finally, GCF of Fractions for 6589/204, 5603/605 is 1/123420.